Trey, Amelia, and Cho are discussing the solution set to the equation x2+9=45.
Trey says the solution is {6}.
Amelia says the solution is {−6,6}.
Cho says the solution is {−6}.
Which person has found the correct solution set?
1 answer
Amelia has found the correct solution set. The equation x^2 + 9 = 45 can be rewritten as x^2 = 36, which can be factored as (x-6)(x+6) = 0. This means that x = -6 or x = 6, so the correct solution set is {-6, 6}.